Optical constants
Refractive index of Biodisel
Wang et al. 2015: 40 °C; n,k 0.300–2.50 µm
- Data
- tabulated n + tabulated k
- Range
- 0.3–2.5 µm
- Points
- 45
- Temperature
- 313 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.44874
- Extinction coefficient k
- 9.69536e-08
- Permittivity ε1
- 2.09886
- Permittivity ε2
- 2.80922e-07
- Absorption coefficient α
- 0.0207344 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 9.64579e+08 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.06 µm⁻¹
- Group index ng
- 1.484
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# Biodisel: Wang et al. 2015: 40 °C; n,k 0.300–2.50 µm
biodisel = ls.fetch_refractiveindex("other", "biodisel", "Wang-40C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(biodisel.range_nm) # (300, 2500) nm
eps = biodisel.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_bad8ec438e3c/lightsmith"
biodisel = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(biodisel.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (biodisel/wang-2015-40c).
# ... load biodisel as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=biodisel)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
Comments and conditions
Conditions
- temperature
- 313 K
References
- doi:10.3788/lop52.051206 Experimental Measurement of Optical Constant of Biodiesel by Double Optical Pathlength Transmission Method, Laser & Optoelectronics Progress (2015)
Cite
王程超 Wang Chengchao, 李兴灿 Li Xingcan, 谭建宇 Tan Jianyu and 刘林华 Liu Linhua. Experimental Measurement of Optical Constant of Biodiesel by Double Optical Pathlength Transmission Method. Laser & Optoelectronics Progress, 52, 051206 (2015), doi:10.3788/lop52.051206; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 45 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.3 | 1.585 | 8.596000e-06 |
| 0.34 | 1.519 | 1.222320e-05 |
| 0.4 | 1.497 | 2.271000e-06 |
| 0.45 | 1.481 | 6.884000e-07 |
| 0.5 | 1.457 | 2.856000e-07 |
| 0.55 | 1.451 | 1.379000e-07 |
| 0.6 | 1.448 | 8.345000e-08 |
| 0.65 | 1.446 | 6.699000e-08 |
| 0.7 | 1.444 | 6.381000e-08 |
| 0.75 | 1.442 | 1.008000e-07 |
| 0.8 | 1.44 | 7.946000e-08 |
| 0.84 | 1.439 | 7.286000e-08 |
| 0.9 | 1.438 | 3.820000e-07 |
| 0.95 | 1.437 | 2.573000e-07 |
| 1 | 1.436 | 1.628000e-07 |
| 1.05 | 1.435 | 4.245667e-07 |
| 1.1 | 1.435 | 3.495000e-07 |
| 1.15 | 1.432 | 1.597000e-06 |
| 1.2 | 1.432 | 1.126000e-05 |
| 1.25 | 1.432 | 1.525000e-06 |
| 1.3 | 1.432 | 5.424000e-07 |
| 1.35 | 1.431 | 1.760400e-06 |
| 1.4 | 1.431 | 7.699000e-06 |
| 1.45 | 1.43 | 5.374000e-06 |
| 1.5 | 1.43 | 1.681000e-06 |
| 1.55 | 1.429 | 8.425000e-07 |
| 1.6 | 1.429 | 6.539000e-07 |
| 1.65 | 1.428 | 6.398000e-06 |
| 1.7 | 1.428 | 6.689000e-05 |
| 1.75 | 1.427 | 7.502000e-05 |
| 1.8 | 1.427 | 4.756000e-05 |
| 1.85 | 1.427 | 3.184000e-05 |
| 1.9 | 1.425 | 2.637000e-05 |
| 1.95 | 1.425 | 2.675000e-05 |
| 2 | 1.424 | 2.618000e-05 |
| 2.05 | 1.424 | 2.673000e-05 |
| 2.1 | 1.424 | 2.875000e-05 |
| 2.15 | 1.423 | 5.370000e-05 |
| 2.2 | 1.423 | 5.319000e-05 |
| 2.25 | 1.422 | 0.0002538 |
| 2.3 | 1.421 | 0.0005464 |
| 2.35 | 1.42 | 0.00059 |
| 2.4 | 1.419 | 0.0005731 |
| 2.45 | 1.418 | 0.0004329 |
| 2.5 | 1.417 | 0.0003407 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Biodiesel, 40 °C.